Figure 4

School spending data set. (a) Scatterplot of the data and fitted EP regression model based on ${\pi }^{r_1}$ (solid line), π^U (dotted line) and considering Gaussian linear model (dot-dashed line). (b) Marginal posterior densities for p based on ${\pi }^{r_1}$ (solid line), ${\pi }^{r_2}$ (dashed line), ${\pi }^{r_3}$ (long-dashed line) and π^U (dotted line). Vertical lines indicate the 95% HPD credible intervals, respectively.